AN EXTENSION OF A CLASS OF GENERATING FUNCTIONS FOR THE CESARO POLYNOMIALS OF THREE VARIABLES

ÖZMEN N., Erkus-Duman E.

JOURNAL OF SCIENCE AND ARTS, no.4, pp.925-936, 2018 (ESCI) identifier

  • Publication Type: Article / Article
  • Publication Date: 2018
  • Journal Name: JOURNAL OF SCIENCE AND ARTS
  • Journal Indexes: Emerging Sources Citation Index (ESCI)
  • Page Numbers: pp.925-936
  • Gazi University Affiliated: Yes

Abstract

The present study deals with some new properties for the Cesaro polynomials of three variables. The results obtained here include various families of multilinear and multilateral generating functions and their miscellaneous properties. We also derive an application giving certain families of bilateral generating functions for the Cesaro polynomials and the generalized Lauricella functions. At the end, we discuss some special cases for this theorem.